SOLUTION: (x – 3) (2x – 5) – (x + 1) (x – 6) = Can you please show me your work – I am having difficulty understanding this part of algebra. Thank you

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Question 629323: (x – 3) (2x – 5) – (x + 1) (x – 6) =
Can you please show me your work – I am having difficulty understanding this part of algebra.
Thank you

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
(x – 3) (2x – 5) – (x + 1) (x – 6) =
Can you please show me your work – I am having difficulty understanding this part of algebra.
Thank you
**
In algebraic terms, the first step is to distribute which means to multiply things out then combine like terms. To distribute or multiply use the FOIL (first, outside, inside, last) method:
(x – 3) (2x – 5) – (x + 1) (x – 6)
=(2x^2-5x-6x+15)-(x^2-6x+x-6)
remove parenthesis then combine like terms
if there is a negative sign in front of the parenthesis, reverse the signs of the terms inside after removing the parenthesis. If there is a positive or no sign in front of the parenthesis, just remove the parenthesis without changing signs of the terms inside.
=2x^2-5x-6x+15-x^2+6x-x+6
combine like terms
=x^2-6x+21